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Finding the Fourth Proportional to 1,105.86, 1,656.36 and 454.62

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Solution

The fourth proportional to 1,105.86, 1,656.36 and 454.62 is: 680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.86 : 1,656.36 = 454.62 : x
  2. Step 2: Convert to fraction form
    1,105.86/1,656.36 = 454.62/x
  3. Step 3: Cross multiply
    1,105.86x = 1,656.36 × 454.62
  4. Step 4: Simplify right side
    1,105.86x = 753,014.38
  5. Step 5: Solve for x
    x = 753,014.38/1,105.86
  6. Step 6: Final answer
    x = 680.93

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